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Finding the Fourth Proportional to 10,490.25, 15,737.81 and 3,564.75

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Solution

The fourth proportional to 10,490.25, 15,737.81 and 3,564.75 is: 5,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,490.25 : 15,737.81 = 3,564.75 : x
  2. Step 2: Convert to fraction form
    10,490.25/15,737.81 = 3,564.75/x
  3. Step 3: Cross multiply
    10,490.25x = 15,737.81 × 3,564.75
  4. Step 4: Simplify right side
    10,490.25x = 56,101,340.37
  5. Step 5: Solve for x
    x = 56,101,340.37/10,490.25
  6. Step 6: Final answer
    x = 5,347.95

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.